Answer:
(3, 6 ) and (- 3, 18 )
Step-by-step explanation:
Equate the right side of both equations, that is
x² - 2x + 3 = - 2x + 12 ← subtract - 2x + 12 from both sides
x² - 9 = 0 ← in standard form
(x - 3)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 3 = 0 ⇒ x = - 3
Substitute these values into f(x) = - 2x + 12
f(3) = - 2(3) + 12 = - 6 + 12 = 6 ⇒ (3, 6 )
f(- 3) = - 2(- 3) + 12 = 6 + 12 = 18 ⇒ (- 3, 18 )
